An introduction to projective geometry and its applications; an analytic and synthetic treatment (1905)
Emch, Arnold, b. 1871 · New York, J. Wiley & sons; London, Chapman & Hall, limited · leaf 235
and 3. Thus three forces OA, OB, OC are obtained, andif O is assumed as a pole and starting out with the original hneo in (b), a funicular polygon is obtained which coincides with theoriginal triangle o, 01, 012. Hence the theorem: Any triangle whose vertices lie on the lines of action of… … 2 22 PROJECTIVE GEOMETRY. the three points of intersection of corresponding sides are colHnear.As any three concurrent Hnes may be chosen as Hnes of actionof three forces in equihbrium, we thus have proved the well-knowTi theorem concerning homologous triangles. 2. Theorem. The middle points of the…
Geometry, Projective · Geometry, Analytic
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
